Easy short trick for finding a square of a two digit number

Easy short trick for finding a square of a two digit number

In various examinations calculations are there, but solving them in the given time becomes challenging. And thus saving the time during examination is the most necessary thing for all of us. There are various ways of calculating the square of a two digit number. But going with the right way makes the calculation more easier, faster and efficient. So, here we are going to learn easy short trick for finding a square of a two digit number in a very short time.

Steps :

We will learn this trick by taking an example of a two digit number. Suppose, we want to calculate square of a two digit number i.e. 68. Then steps would be :

Firstly, take the second digit. Here in our case the second digit is 8.

Now, add and subtract 8 from actual number.

(i.e. (68+8) and (68-8)).

Then, multiply the results of addition and subtraction.

(i.e. (68+8) * (68-8))

Then, in the result just add the multiplication of 8 it by itself.

(i.e. (68+8) * (68-8) + (8*8))

Now, from the last step we will get our result which is 4624.

So, the execution of steps together is :

= (68+8) * (68-8) + (8*8)

= 76 * 60 + 64

= 4560 + 64

= 4624 (answer)

Now suppose we want to calculate square of a number 23 then,

= (23+3) * (23-3) + ( 3*3)

= 26 * 20 + 9

= 520 + 9

= 529 (answer)

We can have one more example like finding the square of 37 :

= (37+7) * (37-7) + (7*7)

= 44 * 30 + 49

= 1320 + 49

= 1369 (answer)

By using the above steps you can easily find the square of any two digit number. Hope you will find this article useful for saving your time in calculation.